A159347 - OEIS

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A159347

Transform of the finite sequence (1, 0, -1) by the T_{0,0} transformation

1, 1, 1, 4, 10, 23, 53, 123, 286, 665, 1546, 3594, 8355, 19423, 45153, 104968, 244021, 567280, 1318766, 3065759, 7127025, 16568323, 38516678, 89540413, 208156206, 483904470, 1124941411, 2615171499, 6079536145, 14133206848, 32855719753 (list; graph; refs; listen; history; internal format)

	OFFSET	`0,4`
	COMMENTS	`Without the two first 1s : A137531`
	LINKS	`Richard Choulet : Curtz-like transformation`
	FORMULA	`O.g.f f(z)=((1-z)^2/(1-3z+2z^2-z^3))(1-z^2). a(0)=1, a(1)=1, a(2)=1, a(3)=4, a(4)=10 and for n>=2 a(n+3)=3a(n+2)-2*a(n+1)+a(n)`
	MAPLE	`a(0):=1: a(1):=1:a(2):=1: a(3):=4:a(4):=10:for n from 2 to 31 do a(n+3):=3a(n+2)-2a(n+1)+a(n):od:seq(a(i), i=0..31);`
	CROSSREFS	`A137531` `Sequence in context: A118645 A200759 A137531 * A102549 A008258 A008251` `Adjacent sequences: A159344 A159345 A159346 * A159348 A159349 A159350`
	KEYWORD	`easy,nonn`
	AUTHOR	`Richard Choulet (richardchoulet(AT)yahoo.fr), Apr 11 2009`

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Last modified February 16 03:44 EST 2012. Contains 205860 sequences.